CN110488367B - Resistivity inversion initial value selection method based on array laterolog data - Google Patents
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Abstract
The invention discloses a resistivity inversion initial value selection method based on array lateral logging data, which comprises the following steps of: forward calculation is carried out based on the radial step formation model, resistivity amplitude difference coefficients S1, S2, S3, S4, S5 and S6 are defined, and MLR1 in array lateral logging aimed at by the radial step formation model is obtaineda、MLR2a、MLR3a、MLR4aEstablishing a chart of variation of resistivity amplitude difference coefficients along with the radius of a flushing zone according to the apparent resistivities of the four basic logging curves; establishing an initial value r of the radius of the flushing zone through linear regression based on a chart of the variation of the resistivity amplitude difference coefficient along with the radius of the flushing zonexoczA quantitative relationship with a resistivity magnitude difference coefficient; MLR4 for basic well logging curve provided by array lateral well loggingaApparent resistivity of the earth layer is used as an initial value R of the formation resistivitytczThen, the initial value R of the resistivity of the flushing zone is obtained based on the pseudo-geometric factor definitionxoczThe method can effectively reduce the deviation between the initial value and the true value without supplementing other logging information, and is beneficial to improving the inversion precision and speed of resistivity logging.
Description
Technical Field
The invention relates to the technical field of logging evaluation in exploration and development of oil and gas resources, in particular to a resistivity inversion initial value selection method based on array lateral logging information.
Background
The reservoir resistivity data has important application in the aspect of reservoir evaluation, and the resistivity can be used for not only qualitatively identifying oil and gas reservoirs (general reservoirs show high-resistance characteristics) but also quantitatively calculating the oil saturation (by using formulas such as Archie or Indonesia and the like). Various resistivity logging methods are widely applied to oil field sites, such as dual lateral logging, dual induction logging, array lateral logging, array induction logging, electrical imaging logging and the like, and with increasingly refined oil and gas reservoir evaluation, the array type resistivity logging instrument can provide a plurality of apparent resistivity curves with higher longitudinal resolution compared with the traditional dual lateral and dual induction logging instrument, so that the array type resistivity logging instrument is increasingly applied to the oil field sites, and the processing work of corresponding array type resistivity logging information becomes a key problem to be solved urgently.
The response of the lateral logging instrument is influenced by factors such as mud invasion, well bores, surrounding rocks and the like, so that the measured apparent resistivity curve cannot truly reflect the resistivity of a reservoir, and inversion processing needs to be carried out on the apparent resistivity curve to recover the resistivity information of a mud invasion section. At present, the processing of the array lateral logging data in the oilfield field is mainly divided into two types. One is to use the apparent resistivity directly as the true resistivity of the reservoir, which has an evaluation error within an acceptable range when the mud invasion of the reservoir is not deep, but causes a serious error at a horizon where the mud invasion is severe. The other processing method is to approximate estimate the resistivity of the invaded zone by using microspheres or micro lateral logging, then correct the resistivity of the invaded zone by using a mud invasion correction plate to obtain the radius of the invaded zone and the resistivity of the stratum.
With the development of computer technology, people introduce inversion ideas into the field of electrical logging inversion. The idea of inversion of the electrical logging is that a resistivity logging inversion model is constructed firstly, repeated iteration is carried out through a corresponding inversion algorithm, and when the error between a forward operator and an actual value is smaller than a preset threshold value, the corresponding forward model parameter at the moment is taken as an inversion parameter to be output. The influence of mud invasion is eliminated by carrying out quick inversion processing on the logging data measured in real time on site, the original characteristics of the stratum can be preliminarily recovered, basic data are provided for later fine interpretation, and the method is also an important basis for logging personnel to judge the quality of logging data. The marquitet algorithm is the most widely applied resistivity inversion method in the oil field. The inversion algorithm has extremely high convergence speed and is beneficial to the real-time inversion of logging information, but the defects of the algorithm are also exposed in the practical application process, that is, the inversion result is greatly influenced by an initial value, and if the initial value is unreasonable in setting (is far away from the true value), the true resistivity value of the stratum is difficult to accurately invert, and the inversion precision is seriously influenced. In order to solve the problems of the marquit algorithm, a learner introduces global optimization algorithms such as a simulated annealing method, a genetic algorithm, an artificial neural network algorithm, an immune algorithm, a differential evolution algorithm, a particle swarm and the like into inversion processing of electric logging information, the algorithm has strong global search capability and can effectively improve inversion accuracy, but has generally slow convergence speed, is not suitable for fast processing of the electric logging information and is limited in use, and the marquit algorithm is still the first choice for real-time inversion of field array lateral logging information.
Disclosure of Invention
The invention aims to solve the technical problem of providing a resistivity inversion initial value selection method based on array lateral logging data.
The technical scheme adopted by the invention for solving the technical problems is as follows: a resistivity inversion initial value selection method based on array laterolog data is constructed, and the method comprises the following steps:
step S100: forward calculation is carried out based on a radial step stratum model, resistivity amplitude difference coefficients S1, S2, S3, S4, S5 and S6 are defined, and MLR1 in array lateral logging aimed at by the radial step stratum model is obtaineda、MLR2a、MLR3a、MLR4aCorrecting the apparent resistivities of the four basic logging curves, performing borehole and surrounding rock correction, and establishing a chart of variation of resistivity amplitude difference coefficients along with the radius of a flushing zone;
step S200: establishing an initial value r of the radius of the flushing zone through linear regression based on a chart of the variation of the resistivity amplitude difference coefficient along with the radius of the flushing zonexoczA quantitative relationship with a resistivity magnitude difference coefficient;
step S300: MLR4 for basic well logging curve provided by array lateral well loggingaApparent resistivity of the earth layer is used as an initial value R of the formation resistivitytczThen, the initial value R of the resistivity of the flushing zone is obtained based on the pseudo-geometric factor definitionxocz。
Preferably, in the step S100, S1, S2, S3, S4, S5, S6 are respectively defined as follows:
S1＝2·(MLR4a-MLR1a)/(MLR4a+MLR1a) (1)
S2＝2·(MLR4a-MLR2a)/(MLR4a+MLR2a) (2)
S3＝2·(MLR4a-MLR3a)/(MLR4a+MLR3a) (3)
S4＝2·(MLR3a-MLR1a)/(MLR3a+MLR1a) (4)
S5＝2·(MLR3a-MLR2a)/(MLR3a+MLR2a) (5)
S6＝2·(MLR2a-MLR1a)/(MLR2a+MLR1a) (6)
wherein, MLR1a、MLR2a、MLR3a、MLR4aThe apparent resistivity of the array laterolog provided for four basic well logging curves is represented, and the unit is omega.m; s1, S2, S3, S4, S5 and S6 are dimensionless.
Preferably, in step S200, an initial value r of the radius of the rinsing zone is establishedxoczThe quantitative relation with the resistivity amplitude difference coefficient is as follows:
rxocz＝925.14·S1+1004.04·S2-1835.46·S3-1295.69·S4-221.40·S5+70.02·S6+1.39 (7)。
preferably, in step S300, the array laterolog provided for the base log MLR4aApparent resistivity of the earth layer is used as an initial value R of the formation resistivitytczThen defining the obtained impulse based on the pseudo-geometric factorInitial value of resistivity R of washing beltxocz：
Wherein, K1Is MLR1aA corresponding instrument constant; r is0Is the borehole radius; h is1Is MLR1aThe corresponding main current thickness; k1、r0、h1Are all known values.
Preferably, also comprises
Step S400: and comparing the initial value Rxocz of the resistivity of the flushing zone with the actual formation parameters.
The implementation of the invention has the following beneficial effects: according to the resistivity inversion initial value selection method based on the array lateral logging information, the deviation between the initial value and the true value can be effectively reduced without supplementing other logging information, and the resistivity logging inversion accuracy and speed can be improved.
Drawings
The invention will be further described with reference to the accompanying drawings and examples, in which:
FIG. 1 is a schematic diagram of an initial resistivity inversion selection method based on array laterolog data according to the present invention;
FIG. 2 is a schematic representation of a radial step formation model of the present invention;
FIG. 3 is a graphical representation of a plate of the resistivity magnitude difference coefficient of the present invention as a function of the radius of the washband.
Detailed Description
As shown in fig. 1, the resistivity inversion initial value selection method based on the array laterolog data of the present invention solves the problem that the selection of the array laterolog inversion initial value by using the marquit algorithm is not appropriate, and is beneficial to improving the inversion accuracy and the algorithm convergence speed.
The method comprises the following steps:
step S100: forward calculation is carried out based on the radial step formation model, resistivity amplitude difference coefficients S1, S2, S3, S4, S5 and S6 are defined, and a radial step formation model needle is obtainedPaired array laterolog MLR1a、MLR2a、MLR3a、MLR4aAnd (4) correcting the apparent resistivities of the four basic logging curves, well bores and surrounding rocks, and establishing a chart of the variation of the resistivity amplitude difference coefficient along with the radius of a flushing zone. As shown in fig. 2, the model is a radial step stratigraphic model. FIG. 3 is a chart of resistivity magnitude difference coefficient as a function of wash zone radius.
In this step S100, S1, S2, S3, S4, S5, S6 are defined as follows, respectively:
S1＝2·(MLR4a-MLR1a)/(MLR4a+MLR1a) (1)
S2＝2·(MLR4a-MLR2a)/(MLR4a+MLR2a) (2)
S3＝2·(MLR4a-MLR3a)/(MLR4a+MLR3a) (3)
S4＝2·(MLR3a-MLR1a)/(MLR3a+MLR1a) (4)
S5＝2·(MLR3a-MLR2a)/(MLR3a+MLR2a) (5)
S6＝2·(MLR2a-MLR1a)/(MLR2a+MLR1a) (6)
wherein, MLR1a、MLR2a、MLR3a、MLR4aThe apparent resistivity of the array laterolog provided for four basic well logging curves is represented, and the unit is omega.m; s1, S2, S3, S4, S5 and S6 are dimensionless.
Further, MLR1 for radial step formation model (theoretical model) is obtaineda、MLR2a、MLR3a、MLR4aThe apparent resistivity of the base log was measured and borehole, wall rock corrections were made as in table 1.
TABLE 1 theoretical model array laterolog response
Response MLR1 for array laterologa、MLR2a、MLR3a、MLR4aAnd preferably selecting corresponding borehole and surrounding rock correction charts, and performing automatic correction of a numerical simulation computer on the basis of fitting the chart readings into a correction formula to eliminate the influence of the borehole and the surrounding rock on the response of the array lateral logging so as to avoid the influence of other factors on the accuracy degree of resistivity inversion initial value selection.
Step S200: establishing an initial value r of the radius of the flushing zone through linear regression based on a chart of the variation of the resistivity amplitude difference coefficient along with the radius of the flushing zonexoczAnd the quantitative relation with the resistivity amplitude difference coefficient.
In this step S200, an initial value r of the radius of the rinsing zone is establishedxoczThe quantitative relation with the resistivity amplitude difference coefficient is as follows:
rxocz＝925.14·S1+1004.04·S2-1835.46·S3-1295.69·S4-221.40·S5+70.02·S6+1.39 (7)。
wherein r isxoczThe initial value of the radius of the rinsing tape, in.
Step S300: MLR4 for basic well logging curve provided by array lateral well loggingaApparent resistivity of the earth layer is used as an initial value R of the formation resistivitytczThen, the initial value R of the resistivity of the flushing zone is obtained based on the pseudo-geometric factor definitionxocz。
In this step S300, the array laterolog provided for the base log MLR4aApparent resistivity of the earth layer is used as an initial value R of the formation resistivitytczThen, the initial value R of the resistivity of the flushing zone is obtained based on the pseudo-geometric factor definitionxocz：
Wherein, K1Is MLR1aA corresponding instrument constant; r is0Is the borehole radius; h is1Is MLR1aThe corresponding main current thickness; k1、r0、h1Are all known values.
In this embodiment, it further comprises
Step S400: initial resistivity value R of the flushing zonexoczCompared to actual formation parameters. It can be understood that the inversion initial value is compared with the actual formation parameter, the effectiveness and the superiority of the resistivity inversion initial value selection method based on the array lateral logging data are verified, and the comparison result is shown in table 2.
TABLE 2 inversion initial value vs. actual formation parameters
By comparing the two inversion initial value selection methods, the resistivity logging initial value selection method based on the array lateral logging data has better effect and can be popularized and applied to the field.
According to the resistivity inversion initial value selection method based on the array lateral logging information, the deviation between the initial value and the true value can be effectively reduced without supplementing other logging information, and the resistivity logging inversion accuracy and speed can be improved.
It is to be understood that the foregoing examples, while indicating the preferred embodiments of the invention, are given by way of illustration and description, and are not to be construed as limiting the scope of the invention; it should be noted that, for those skilled in the art, the above technical features can be freely combined, and several changes and modifications can be made without departing from the concept of the present invention, which all belong to the protection scope of the present invention; therefore, all equivalent changes and modifications made within the scope of the claims of the present invention should be covered by the claims of the present invention.
Claims (5)
1. A resistivity inversion initial value selection method based on array laterolog data is characterized by comprising the following steps:
step S100: forward calculation is carried out based on a radial step stratum model, resistivity amplitude difference coefficients S1, S2, S3, S4, S5 and S6 are defined, and the radial step stratum model is obtained forIn array laterolog MLR1a、MLR2a、MLR3a、MLR4aCorrecting the apparent resistivities of the four basic logging curves, performing borehole and surrounding rock correction, and establishing a chart of variation of resistivity amplitude difference coefficients along with the radius of a flushing zone;
step S200: establishing an initial value r of the radius of the flushing zone through linear regression based on a chart of the variation of the resistivity amplitude difference coefficient along with the radius of the flushing zonexoczA quantitative relationship with a resistivity magnitude difference coefficient;
step S300: MLR4 for basic well logging curve provided by array lateral well loggingaApparent resistivity of the earth layer is used as an initial value R of the formation resistivitytczThen, the initial value R of the resistivity of the flushing zone is obtained based on the pseudo-geometric factor definitionxocz。
2. The method for selecting the initial value of resistivity inversion based on the array laterolog data as claimed in claim 1, wherein in the step S100, S1, S2, S3, S4, S5 and S6 are respectively defined as follows:
S1＝2·(MLR4a-MLR1a)/(MLR4a+MLR1a) (1)
S2＝2·(MLR4a-MLR2a)/(MLR4a+MLR2a) (2)
S3＝2·(MLR4a-MLR3a)/(MLR4a+MLR3a) (3)
S4＝2·(MLR3a-MLR1a)/(MLR3a+MLR1a) (4)
S5＝2·(MLR3a-MLR2a)/(MLR3a+MLR2a) (5)
S6＝2·(MLR2a-MLR1a)/(MLR2a+MLR1a) (6)
wherein, MLR1a、MLR2a、MLR3a、MLR4aThe apparent resistivity of the array laterolog provided for four basic well logging curves is represented, and the unit is omega.m; s1, S2, S3, S4, S5 and S6 are dimensionless.
3. The method of claim 2, wherein the initial value r of the radius of the washzone is established in step S200xoczThe quantitative relation with the resistivity amplitude difference coefficient is as follows:
rxocz＝925.14·S1+1004.04·S2-1835.46·S3-1295.69·S4-221.40·S5+70.02·S6+1.39 (7)。
4. the method for selecting initial resistivity inversion values based on array laterolog data as claimed in claim 3, wherein in step S300, the MLR4 for the base well log provided by the array laterolog is appliedaApparent resistivity of the earth layer is used as an initial value R of the formation resistivitytczThen, the initial value R of the resistivity of the flushing zone is obtained based on the pseudo-geometric factor definitionxocz：
Wherein, K1Is MLR1aA corresponding instrument constant; r is0Is the borehole radius; h is1Is MLR1aThe corresponding main current thickness; k1、r0、h1Are all known values.
5. The method of claim 1, further comprising selecting an initial value for resistivity inversion based on the array laterolog data
Step S400: setting the initial resistivity value R of the flushing beltxoczCompared to actual formation parameters.
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